11768561289 has 9 divisors (see below), whose sum is σ = 16999503079. Its totient is φ = 7845490560.

The previous prime is 11768561269. The next prime is 11768561291. The reversal of 11768561289 is 98216586711.

It is a happy number.

The square root of 11768561289 is 108483.

It is a perfect power (a square), and thus also a powerful number.

11768561289 is a `hidden beast` number, since 1 + 1 + 76 + 8 + 561 + 2 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9383215689 + 2385345600 = 96867^2 + 48840^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 11768561289 - 2⁵ = 11768561257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11768561249) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 307369 + ... + 343529.

Almost surely, 2^11768561289 is an apocalyptic number.

11768561289 is the 108483-rd square number.

11768561289 is the 54242-nd centered octagonal number.

It is an amenable number.

11768561289 is a deficient number, since it is larger than the sum of its proper divisors (5230941790).

11768561289 is an frugal number, since it uses more digits than its factorization.

11768561289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72328 (or 36164 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 11768561289 in words is "eleven billion, seven hundred sixty-eight million, five hundred sixty-one thousand, two hundred eighty-nine".